Home
Class 12
MATHS
In a triangle PQR angle R=pi //2 if ...

In a triangle PQR angle `R=pi //2` if `tan (p//2)` and ` tan ( Q//2)` are the roots of the equation ` ax ^2 + bx +c=0 ( a ne 0)` then

A

a+b=c

B

`b+c=0`

C

a+c=b

D

b=c

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (QUADRATIC EXPRESSIONS)|106 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -1)|4 Videos

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos

  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 Videos

Similar Questions

Explore conceptually related problems

In a triangle PQR angle R=(pi)/(4), if tan (p/3) and tan ((Q)/(3)) are the roots of the equation ax ^2 + bx +c=0 then

IF the roots of the equation ax ^2 +bx + c=0 are real and distinct , then

The roots of a quadratic equation ax^2- bx + c = 0, a ne 0 are

If tan alpha , tan beta are the roots of the equation x^(2) + px+q=0(p ne 0) then

If the ratio of the roots of the equation ax^(2)+bx+c=0 is m: n then

The roots of a quadratic equation ax^(2) + bx + c = 0 "is"

The product of roots of quadratic equation ax^(2) + bx + c = 0 is

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. If sin alpha and cos alpha are the roots of 25 x ^2 +5x-12=0, t...

    Text Solution

    |

  2. IF tan A and tan B are the roots of the quadratic x^2 -px+q=0...

    Text Solution

    |

  3. In a triangle PQR angle R=pi //2 if tan (p//2) and tan ( Q//2)...

    Text Solution

    |

  4. In a triangle PQR angle R=(pi)/(4), if tan (p/3) and tan ((Q)/...

    Text Solution

    |

  5. If one root of x^2+px +1=0 is the cube of the other root, then ...

    Text Solution

    |

  6. IF one root of ax ^2 +bx +c=0 is equal to nth power of the othe...

    Text Solution

    |

  7. IF x,a,b,c are real and (x-a+b^2)+(x-b+c)^2=0 then a,b,c are in

    Text Solution

    |

  8. IF the roots of (1) /(x +a) + (1)/(x +b)=(1)/(c ) are equal in ...

    Text Solution

    |

  9. IF the roots of the equation (1)/(x+p) +(1)/(x+q) =(1)/(r ) are ...

    Text Solution

    |

  10. IF (1)/(x) +(1)/(x+a) =(1)/(m)+(1)/(m+a) has roots equal in magnit...

    Text Solution

    |

  11. IF the roots of a^2x^2-abx +c=0 are consecutive integers , then ...

    Text Solution

    |

  12. If r is the ratio of the roots of ax ^2 + bx +C=0 then ((r +1)^2)...

    Text Solution

    |

  13. IF the roots of ax^2 +bx +c=0 are of the form (m+1)/(m ) ,(m+2)/...

    Text Solution

    |

  14. IF (a alpha + b )^(-2)+ ( abeta + b)^(-2) =1 , where alpha , b...

    Text Solution

    |

  15. IF the equation x^2 +2(k+1)x+9k-5=0 has only negative roots , th...

    Text Solution

    |

  16. All the values of m for which both roots of the equation x^2-...

    Text Solution

    |

  17. The values of a for which of a for which 2x^2-2(2a +1)x+a(a+1) =...

    Text Solution

    |

  18. The value of a for which the equation (1-a ^2)x^2+2ax -1 has roo...

    Text Solution

    |

  19. The value of a for which each one of the roots of x^2-4ax+2a^...

    Text Solution

    |

  20. The value of 'a' for which one root of the quadratric equation ...

    Text Solution

    |